Answer:
a. 47
b. 87
c. 127
Step-by-step explanation:
Assume a total of 4 exams ( first 3 plus a final)
Let final score be X,
Hence, average score = (85 + 71 + 77 + x) / 4 = (233 + x) / 4
a) to get a C, the average score must be 70
70 = (233 + x) / 4
(233 + x) = 70 (4) = 280
x = 280 - 233 = 47 (Ans)
b) to get a B, the average score must be 80
80 = (233 + x) / 4
(233 + x) = 80 (4) = 320
x = 320 - 233 = 87 (Ans)
c) to get a A, the average score must be 90
90 = (233 + x) / 4
(233 + x) = 90 (4) = 360
x = 360 - 233 = 127 (Ans)
This is a binomial experiment and you'll use the binomial probability distribution because:
- There are two choices for each birth. Either you get a girl or you get a boy. So there are two outcomes to each trial. This is where the "bi" comes from in "binomial" (bi means 2).
- Each birth is independent of any other birth. The probability of getting a girl is the same for each trial. In this case, the probability is p = 1/2 = 0.5 = 50%
- There are fixed number of trials. In this case, there are 5 births so n = 5 is the number of trials.
Since all of those conditions above are met, this means we have a binomial experiment.
Some textbooks may split up item #2 into two parts, but I chose to place them together since they are similar ideas.
<u><em>Answer:</em></u>
Open
<u><em>Explanation:</em></u>
An open equation is an equation that has variables and CAN be solved
<u>Example</u>: 2x = 4 ......> can be solved giving ......> x = 2
A false equation is one where both sides can NEVER be equal
<u>Example:</u> 15 = 2(3) + 1 ..........> 15 can never be equal to 7
A true equation is one having no variables and both sides are ALWAYS equal
<u>Example:</u> 2(3) + 1 = 2(2) + 3 ........> 7 will always be equal to 7
Now, the given equation is:
4y + 8 = 6y + 3
Let's try to solve is:
4y + 8 = 6y + 3
6y - 4y = 8 - 3
2y = 5
y = 2.5
Therefore, the given equation contains a variable and can be solved which means that it is an open equation
Hope this helps :)
Answer:
35 minutes
Step-by-step explanation:
The total amount of water is 200 +60 = 260 gallons. The two tanks will have equal amounts when each has half that, or 130 gallons.
If the volume in tank 2 is increasing at 2 gallons per minute, it will increase by 70 gallons from 60 gallons to 130 gallons in 70/2 = 35 minutes.
